Question

use the distributive property to fill in the blanks below. (7×2)+(7×1)=□×(2+1)

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a\times b + a\times c = a\times(b + c)\).

Step2: Identify the common factor

In the expression \((7\times2)+(7\times1)\), the common factor \(a\) is \(7\), \(b = 2\), and \(c = 1\). So, by the distributive property, \((7\times2)+(7\times1)=7\times(2 + 1)\).

Answer:

\(7\)